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Finding the Fourth Proportional to 37,019.47, 51,088.10 and 20,252.47

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Solution

The fourth proportional to 37,019.47, 51,088.10 and 20,252.47 is: 27,949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,019.47 : 51,088.10 = 20,252.47 : x
  2. Step 2: Convert to fraction form
    37,019.47/51,088.10 = 20,252.47/x
  3. Step 3: Cross multiply
    37,019.47x = 51,088.10 × 20,252.47
  4. Step 4: Simplify right side
    37,019.47x = 1,034,660,212.61
  5. Step 5: Solve for x
    x = 1,034,660,212.61/37,019.47
  6. Step 6: Final answer
    x = 27,949.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.